展开 (1+x^2)/(x^2(x-4)^2)

解答

展开

\frac{1 + x ^{2}}{x ^{2} ( x - 4 ) ^{2}}

\frac{1 + x ^{2}}{x ^{4} - 8 x ^{3} + 16 x ^{2}}

求解步骤

\frac{1 + x ^{2}}{x ^{2} ( x - 4 ) ^{2}}

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{1 + x ^{2}}{x ^{2} ( x ^{2} - 8 x + 16 )}

乘开

x^{2} (x^{2} - 8 x + 16) : x^{4} - 8 x^{3} + 16 x^{2}

= \frac{1 + x ^{2}}{x ^{4} - 8 x ^{3} + 16 x ^{2}}

s im pl i f y (2 + x - 3)^{2}

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s im pl i f y 10 (10 + x 30)

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